Q5 of 61 Page 26

Two types of boxes A, B are to be placed in a truck having capacity of 10 tons. When 150 boxes of type A and 100 boxes of type B are loaded in the truck, it weighes 10 tons. But when 260 boxes of type A are loaded in the truck, it can still accommodate 40 boxes of type B, so that it is fully loaded. Find the weight of each type of box.

A – 30kg, B – 55k

Let the weight of box ‘A’ = x kg


Let the Weight of box’B’ = y kg


According to question,


150 boxes of type A and 100 boxes of type B are loaded in the truck and it weighs 10tons.


∴ [∵ 1ton = 1000kg]


⇒


260 boxes of type A are loaded in the truck, it can still accommodate 40 boxes of type B, still it weighs 10tons


∴ [∵ 1ton = 1000kg]


⇒ ……(II)


Solving Equation I and II







Putting x=30 in Eq. I







Hence, A – 30kg, B – 55kg


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